Multiple choice

A clock loses 't' seconds in 'h' hours. If the clock is set correctly at 12:00 noon on Sunday, what time will it show at 12:00 noon on the following Sunday?

  1. $7(24) \displaystyle \frac{h}{t}$ minutes to 12
  2. $7(24) \displaystyle \frac{t}{60 h}$ minutes to 12
  3. $7(24) \displaystyle \frac{h}{60 t}$ minutes to 12
  4. $ \displaystyle \frac{60 t}{7} (24) h$ minutes to 12

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In one week there are 7 * 24 = 168 hours. The clock loses t seconds per h hours, so total loss = (168t)/h seconds = (168t)/(60h) minutes = 7(24)t/(60h) minutes. This matches option B: 7(24) * t/(60h) minutes to 12.

AI explanation

To find the total time lost, we first determine the number of hours in a week by multiplying 24 hours by 7 days, giving 168 hours. The clock loses t seconds every h hours, so the total seconds lost over the entire week is 168 times t divided by h. To convert these lost seconds into minutes, we divide the total seconds by 60, which gives 7 times 24 times t divided by 60h minutes to 12.

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